| Artist | Title | Song # |
| Haddaway | What Is Love | SC-85230 |
| Haddaway | What Is Love | SF-85564 |
| Hairspray | Big Blonde & Beautiful | SS-85783 |
| Hairspray | Big Dollhouse, The | SS-85784 |
| Hairspray | Cooties | SS-85791 |
| Hairspray | Good Morning Baltimore | SS-85775 |
| Hairspray | Good Morning Baltimore (Reprise) | SS-85785 |
| Hairspray | I Can Hear The Bells | SS-85778 |
| Hairspray | I Know Where I've Been | SS-85789 |
| Hairspray | It Takes Two | SS-85780 |
| Hairspray | It's Hairspray | SS-85790 |
| Hairspray | Legend Of Miss Baltimore Crabs | SS-85779 |
| Hairspray | Mama I'm A Big Girl Now | SS-85777 |
| Hairspray | Nicest Kids In Town, The | SS-85776 |
| Hairspray | Run And Tell That | SS-85782 |
| Hairspray | Welcome To The 60's | SS-85781 |
| Hairspray | Without Love | SS-85788 |
| Hairspray | You Can't Stop The Beat | SS-85792 |
| Hairspray | You're Timeless To Me | SS-85786 |
| Hairspray | You're Timeless To Me (Reprise-Encore) | SS-85787 |
| Halsey | Eyes Closed | ZM-85960 |
| Halsey & Stefflon Don & Big Sean | Alone | ZM-86076 |
| Halsey & The Chainsmokers | Closer | ZM-85831 |
| Hamilton | Burn | ZM-86159 |
| Hamilton | Hurricane | ZM-86155 |
| Hamilton | It's Quiet Uptown | ZM-86156 |
| Hamilton | Wait For It | ZM-86157 |
| Hamilton | You'll Be Back | ZM-86158 |
| Hanoi Rocks | Boulevard Of Broken Dreams | SC-85292 |
| Hansard, Glen & Marketa Irglova | Falling Slowly | SC-85499 |
| Harris, Calvin | My Way | ZM-85846 |
| Hawkins, Sophie B. | As I Lay Me Down | SC-84893 |
| Hawkins, Sophie B. | Damn I Wish I Was Your Lover | JVC-84703 |
| Hayes, Isaac | Walk On By | SC-85387 |
| Headley, Heather | He Is | SC-85198 |
| Heatwave | Groove Line, The | SC-85394 |
| Hebb, Bobby | Sunny | SC-85215 |
| Helmet | Unsung | SC-85445 |
| Hendrix, Jimi | Crosstown Traffic | SC-85149 |
| Herman's Hermits | There's A Kind Of Hush | SC-85062 |
| Highway 101 | Who's Gonna Love You | SC-84961 |
| Hill, Faith & Tim McGraw | I Need You | SC-85504 |
| Hill, Marian | Down | SNG-85695 |
| Hole | Gold Dust Woman | SC-84936 |
| Holly, Buddy | Oh Boy | SC-84992 |
| Holman, Eddie | Hey There Lonely Girl | SC-84922 |
| Holy, Steve | Blue Moon | SC-85096 |
| Holy, Steve | Good Morning Beautiful | TT-85795 |
| Honey Cone | Want Ads | SC-84915 |
| Hooters, The | All You Zombies | SC-85345 |
| Hootie & The Blowfish | Hold My Hand | JVC-84769 |
| Hootie & The Blowfish | Sad Caper | SC-84974 |
| Horan, Niall | Flicker | ZM-85912 |
| Horan, Niall | On The Loose | ZM-86079 |
| Horan, Niall | Slow Hands | ZM-85994 |
| Hot Chocolate | Every 1's A Winner | SC-84921 |
| Houston, Whitney | I Have Nothing | SF-85574 |
| Houston, Whitney | I Wanna Dance...How Will I Know (Medley) | ZM-86201 |
| Houston, Whitney | You Give Good Love | SC-85006 |
| Howlin' Wolf | Spoonful | SC-85242 |
| Huey Lewis & The News | Bad Is Bad | SC-85426 |
| Hunt, Sam | Body Like A Back Road | SNG-85631 |
| Hunt, Sam | Make You Miss Me | SNG-85624 |
| Hunter, Jesse | By The Way She's Lookin' | SC-84948 |
| Hurricane Chris | A-Bay Bay | SC-85515 |